Scattering in Mass-Deformed N>=4 Chern-Simons Models

Abstract

We investigate the scattering matrix in mass-deformed N>=4 Chern-Simons models including as special cases the BLG and ABJM theories of multiple M2 branes. Curiously the structure of this scattering matrix in three spacetime dimensions is equivalent to (a) the two-dimensional worldsheet matrix found in the context of AdS/CFT integrability and (b) the R-matrix of the one-dimensional Hubbard model. The underlying reason is that all three models are based on an extension of the psu(2|2) superalgebra which constrains the matrix completely. We also compute scattering amplitudes in one-loop field theory and find perfect agreement with scattering unitarity.

63 pages, v2: minor corrections, v3: minor improvements

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• Deformations of Superconformal Theories
• Scattering in Three Dimensions from Rational Maps
• New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Generic multiloop methods and application to N=4 super-Yang-Mills
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• On-shell superamplitudes in N<4 SYM
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• One Loop Amplitudes In ABJM
• Nonrelativistic Superconformal M2-Brane Theory
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• Scattering in ABJ theories
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• Amplitudes of 3d Yang Mills Theory
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• Holography of mass-deformed M2-branes
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• Two-loop Sudakov Form Factor in ABJM
• Structure of Chern-Simons Scattering Amplitudes from Topological Equivalence Theorem and Double-Copy
• Non-planarity through unitarity in ABJM
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• N=2 Moduli of AdS4 vacua: A fine-print study
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
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• Scattering Amplitudes of Kaluza-Klein Strings and Extended Massive Double-Copy
• The two-loop six-point amplitude in ABJM theory
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• ABJM amplitudes and WL at finite N
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• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Spin chain for the deformed ABJM theory
• Supersymmetric Wilson Loops in Diverse Dimensions
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• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
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• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1
• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD
• The canonical form has got baubles